82295136 has 192 divisors, whose sum is σ = 299496960. Its totient is φ = 21358080.

The previous prime is 82295123. The next prime is 82295149. The reversal of 82295136 is 63159228.

It is an interprime number because it is at equal distance from previous prime (82295123) and next prime (82295149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82295136.

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, 65910 + ... + 67146.

It is an arithmetic number, because the mean of its divisors is an integer number (1559880).

Almost surely, 2^82295136 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 82295136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149748480).

82295136 is an abundant number, since it is smaller than the sum of its proper divisors (217201824).

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

82295136 is a wasteful number, since it uses less digits than its factorization.

82295136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1260 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 82295136 is about 9071.6666605426. Note that the first 5 decimals coincide. The cubic root of 82295136 is about 434.9687492413.

The spelling of 82295136 in words is "eighty-two million, two hundred ninety-five thousand, one hundred thirty-six".