82429974 has 96 divisors (see below), whose sum is σ = 214171776. Its totient is φ = 23483520.

The previous prime is 82429933. The next prime is 82429987. The reversal of 82429974 is 47992428.

It is a super-2 number, since 2×82429974² = 13589401227281352, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90429 + ... + 91335.

It is an arithmetic number, because the mean of its divisors is an integer number (2230956).

Almost surely, 2^82429974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82429974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107085888).

82429974 is an abundant number, since it is smaller than the sum of its proper divisors (131741802).

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

82429974 is a wasteful number, since it uses less digits than its factorization.

82429974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 940 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 82429974 is about 9079.0954395248. The cubic root of 82429974 is about 435.2061804997.

The spelling of 82429974 in words is "eighty-two million, four hundred twenty-nine thousand, nine hundred seventy-four".