83265504 has 144 divisors (see below), whose sum is σ = 262918656. Its totient is φ = 22982400.

The previous prime is 83265499. The next prime is 83265551. The reversal of 83265504 is 40556238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145539 + ... + 146109.

It is an arithmetic number, because the mean of its divisors is an integer number (1825824).

Almost surely, 2^83265504 is an apocalyptic number.

83265504 is a gapful number since it is divisible by the number (84) 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 83265504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

83265504 is an abundant number, since it is smaller than the sum of its proper divisors (179653152).

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

83265504 is a wasteful number, since it uses less digits than its factorization.

83265504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 83265504 is about 9124.9933698606. The cubic root of 83265504 is about 436.6716914390.

The spelling of 83265504 in words is "eighty-three million, two hundred sixty-five thousand, five hundred four".