82532910 has 64 divisors (see below), whose sum is σ = 204602112. Its totient is φ = 21294336.

The previous prime is 82532899. The next prime is 82532921. The reversal of 82532910 is 1923528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82532899) and next prime (82532921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176497 + ... + 176963.

It is an arithmetic number, because the mean of its divisors is an integer number (3196908).

Almost surely, 2^82532910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82532910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102301056).

82532910 is an abundant number, since it is smaller than the sum of its proper divisors (122069202).

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

82532910 is a wasteful number, since it uses less digits than its factorization.

82532910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 82532910 is about 9084.7625175345. The cubic root of 82532910 is about 435.3872624797.

The spelling of 82532910 in words is "eighty-two million, five hundred thirty-two thousand, nine hundred ten".