82157340 has 48 divisors (see below), whose sum is σ = 231719040. Its totient is φ = 21748800.

The previous prime is 82157329. The next prime is 82157359. The reversal of 82157340 is 4375128.

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

It is a junction number, because it is equal to n+sod(n) for n = 82157298 and 82157307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3415 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (4827480).

Almost surely, 2^82157340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82157340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115859520).

82157340 is an abundant number, since it is smaller than the sum of its proper divisors (149561700).

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

82157340 is a wasteful number, since it uses less digits than its factorization.

82157340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 10000 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 82157340 is about 9064.0686228647. The cubic root of 82157340 is about 434.7258412522.

The spelling of 82157340 in words is "eighty-two million, one hundred fifty-seven thousand, three hundred forty".