82407942 has 80 divisors (see below), whose sum is σ = 204174432. Its totient is φ = 24710400.

The previous prime is 82407911. The next prime is 82407953. The reversal of 82407942 is 24970428.

It is a junction number, because it is equal to n+sod(n) for n = 82407897 and 82407906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62692 + ... + 63992.

Almost surely, 2^82407942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82407942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102087216).

82407942 is an abundant number, since it is smaller than the sum of its proper divisors (121766490).

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

82407942 is a wasteful number, since it uses less digits than its factorization.

82407942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82407942 is about 9077.8820217053. The cubic root of 82407942 is about 435.1674028702.

The spelling of 82407942 in words is "eighty-two million, four hundred seven thousand, nine hundred forty-two".