962500 has 72 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 300000.

The previous prime is 962497. The next prime is 962503. The reversal of 962500 is 5269.

It is an interprime number because it is at equal distance from previous prime (962497) and next prime (962503).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (962503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87495 + ... + 87505.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2⁹⁶²⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416).

962500 is an abundant number, since it is smaller than the sum of its proper divisors (1662332).

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

962500 is a wasteful number, since it uses less digits than its factorization.

962500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 962500 is about 981.0708435174. The cubic root of 962500 is about 98.7340411106.

Adding to 962500 its reverse (5269), we get a palindrome (967769).

It can be divided in two parts, 9 and 62500, that multiplied together give a square (562500 = 750²).

The spelling of 962500 in words is "nine hundred sixty-two thousand, five hundred".