61500 has 48 divisors (see below), whose sum is σ = 183456. Its totient is φ = 16000.

The previous prime is 61493. The next prime is 61507. The reversal of 61500 is 516.

61500 = 4⁵ + 5⁵ + ... + 8⁵.

61500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61493) and next prime (61507).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61500.

It is not an unprimeable number, because it can be changed into a prime (61507) by changing a digit.

61500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁶¹⁵⁰⁰ is an apocalyptic number.

61500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

61500 is an abundant number, since it is smaller than the sum of its proper divisors (121956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61500 is a wasteful number, since it uses less digits than its factorization.

61500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 61500 is about 247.9919353527. The cubic root of 61500 is about 39.4722338648.

It can be divided in two parts, 61 and 500, that added together give a triangular number (561 = T₃₃).

The spelling of 61500 in words is "sixty-one thousand, five hundred".