82225664 has 40 divisors (see below), whose sum is σ = 168340788. Its totient is φ = 40099840.

The previous prime is 82225579. The next prime is 82225681. The reversal of 82225664 is 46652228.

It can be written as a sum of positive squares in 2 ways, for example, as 81144064 + 1081600 = 9008^2 + 1040^2 .

It is a super-2 number, since 2×82225664² = 13522119640481792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19034 + ... + 22950.

Almost surely, 2^82225664 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 82225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84170394).

82225664 is an abundant number, since it is smaller than the sum of its proper divisors (86115124).

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

82225664 is an equidigital number, since it uses as much as digits as its factorization.

82225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3960 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 82225664 is about 9067.8367872387. The cubic root of 82225664 is about 434.8463173148.

The spelling of 82225664 in words is "eighty-two million, two hundred twenty-five thousand, six hundred sixty-four".