82407492 has 36 divisors (see below), whose sum is σ = 209372800. Its totient is φ = 27328752.

The previous prime is 82407491. The next prime is 82407511. The reversal of 82407492 is 29470428.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82407491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413 + ... + 12915.

Almost surely, 2^82407492 is an apocalyptic number.

It is an amenable number.

82407492 is an abundant number, since it is smaller than the sum of its proper divisors (126965308).

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

82407492 is a wasteful number, since it uses less digits than its factorization.

82407492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11707 counting only the distinct ones).

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

The square root of 82407492 is about 9077.8572361544. The cubic root of 82407492 is about 435.1666107715.

The spelling of 82407492 in words is "eighty-two million, four hundred seven thousand, four hundred ninety-two".