61350 has 24 divisors (see below), whose sum is σ = 152520. Its totient is φ = 16320.

The previous prime is 61343. The next prime is 61357. The reversal of 61350 is 5316.

It is an interprime number because it is at equal distance from previous prime (61343) and next prime (61357).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (6355).

2⁶¹³⁵⁰ is an apocalyptic number.

61350 is an abundant number, since it is smaller than the sum of its proper divisors (91170).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76260).

61350 is a wasteful number, since it uses less digits than its factorization.

61350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 61350 is about 247.6893215300. The cubic root of 61350 is about 39.4401164919.

Adding to 61350 its reverse (5316), we get a palindrome (66666).

It can be divided in two parts, 6 and 1350, that multiplied together give a square (8100 = 90²).

The spelling of 61350 in words is "sixty-one thousand, three hundred fifty".