82492550 has 48 divisors (see below), whose sum is σ = 181036032. Its totient is φ = 27367200.

The previous prime is 82492549. The next prime is 82492577. The reversal of 82492550 is 5529428.

82492550 = 273² + 274² + ... + 644².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 82492550.

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, 7049 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (3771584).

Almost surely, 2^82492550 is an apocalyptic number.

82492550 is an abundant number, since it is smaller than the sum of its proper divisors (98543482).

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

82492550 is a wasteful number, since it uses less digits than its factorization.

82492550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 82492550 is about 9082.5409440310. The cubic root of 82492550 is about 435.3162803100.

The spelling of 82492550 in words is "eighty-two million, four hundred ninety-two thousand, five hundred fifty".