82753312 has 36 divisors (see below), whose sum is σ = 167531490. Its totient is φ = 40237056.

The previous prime is 82753309. The next prime is 82753313. The reversal of 82753312 is 21335728.

It can be written as a sum of positive squares in 3 ways, for example, as 82519056 + 234256 = 9084^2 + 484^2 .

It is a super-2 number, since 2×82753312² = 13696221293938688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82753313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42864 + ... + 44752.

Almost surely, 2^82753312 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 82753312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83765745).

82753312 is an abundant number, since it is smaller than the sum of its proper divisors (84778178).

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

82753312 is a wasteful number, since it uses less digits than its factorization.

82753312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1928 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 82753312 is about 9096.8847414926. The cubic root of 82753312 is about 435.7744814697.

The spelling of 82753312 in words is "eighty-two million, seven hundred fifty-three thousand, three hundred twelve".