82250952 has 64 divisors (see below), whose sum is σ = 237686400. Its totient is φ = 23232000.

The previous prime is 82250951. The next prime is 82250969. The reversal of 82250952 is 25905228.

It is not an unprimeable number, because it can be changed into a prime (82250951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12202 + ... + 17702.

It is an arithmetic number, because the mean of its divisors is an integer number (3713850).

Almost surely, 2^82250952 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 82250952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118843200).

82250952 is an abundant number, since it is smaller than the sum of its proper divisors (155435448).

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

82250952 is a wasteful number, since it uses less digits than its factorization.

82250952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 82250952 is about 9069.2310589156. The cubic root of 82250952 is about 434.8908908540.

The spelling of 82250952 in words is "eighty-two million, two hundred fifty thousand, nine hundred fifty-two".