82870452 has 120 divisors (see below), whose sum is σ = 252067200. Its totient is φ = 23250240.

The previous prime is 82870451. The next prime is 82870519. The reversal of 82870452 is 25407828.

It is a happy number.

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 (82870451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138049 + ... + 138647.

It is an arithmetic number, because the mean of its divisors is an integer number (2100560).

Almost surely, 2^82870452 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 82870452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126033600).

82870452 is an abundant number, since it is smaller than the sum of its proper divisors (169196748).

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

82870452 is a wasteful number, since it uses less digits than its factorization.

82870452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82870452 is about 9103.3209324949. The cubic root of 82870452 is about 435.9800021689.

The spelling of 82870452 in words is "eighty-two million, eight hundred seventy thousand, four hundred fifty-two".