82769232 has 120 divisors (see below), whose sum is σ = 267962016. Its totient is φ = 21821184.

The previous prime is 82769231. The next prime is 82769233. The reversal of 82769232 is 23296728.

It is an interprime number because it is at equal distance from previous prime (82769231) and next prime (82769233).

It is a super-3 number, since 3×82769232³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82769231) 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, 29223 + ... + 31929.

Almost surely, 2^82769232 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 82769232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133981008).

82769232 is an abundant number, since it is smaller than the sum of its proper divisors (185192784).

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

82769232 is a wasteful number, since it uses less digits than its factorization.

82769232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2732 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 82769232 is about 9097.7597242398. The cubic root of 82769232 is about 435.8024242986.

The spelling of 82769232 in words is "eighty-two million, seven hundred sixty-nine thousand, two hundred thirty-two".