82490742 has 48 divisors (see below), whose sum is σ = 196335360. Its totient is φ = 24914736.

The previous prime is 82490731. The next prime is 82490753. The reversal of 82490742 is 24709428.

It is an interprime number because it is at equal distance from previous prime (82490731) and next prime (82490753).

It is a junction number, because it is equal to n+sod(n) for n = 82490697 and 82490706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623 + ... + 13109.

It is an arithmetic number, because the mean of its divisors is an integer number (4090320).

Almost surely, 2^82490742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82490742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98167680).

82490742 is an abundant number, since it is smaller than the sum of its proper divisors (113844618).

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

82490742 is a wasteful number, since it uses less digits than its factorization.

82490742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10537 (or 10534 counting only the distinct ones).

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

The square root of 82490742 is about 9082.4414118672. The cubic root of 82490742 is about 435.3130999922.

The spelling of 82490742 in words is "eighty-two million, four hundred ninety thousand, seven hundred forty-two".