82337430 has 128 divisors (see below), whose sum is σ = 236307456. Its totient is φ = 17971200.

The previous prime is 82337429. The next prime is 82337441. The reversal of 82337430 is 3473328.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628465 + ... + 628595.

It is an arithmetic number, because the mean of its divisors is an integer number (1846152).

Almost surely, 2^82337430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82337430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118153728).

82337430 is an abundant number, since it is smaller than the sum of its proper divisors (153970026).

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

82337430 is a wasteful number, since it uses less digits than its factorization.

82337430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 82337430 is about 9073.9974652851. The cubic root of 82337430 is about 435.0432510833.

The spelling of 82337430 in words is "eighty-two million, three hundred thirty-seven thousand, four hundred thirty".