83927952 has 60 divisors (see below), whose sum is σ = 238414800. Its totient is φ = 27555264.

The previous prime is 83927933. The next prime is 83927983. The reversal of 83927952 is 25972938.

It is a super-2 number, since 2×83927952² = 14087802253828608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83927898 and 83927907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5299 + ... + 13997.

It is an arithmetic number, because the mean of its divisors is an integer number (3973580).

Almost surely, 2^83927952 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 83927952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119207400).

83927952 is an abundant number, since it is smaller than the sum of its proper divisors (154486848).

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

83927952 is a wasteful number, since it uses less digits than its factorization.

83927952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8771 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 83927952 is about 9161.2200060909. The cubic root of 83927952 is about 437.8266656352.

The spelling of 83927952 in words is "eighty-three million, nine hundred twenty-seven thousand, nine hundred fifty-two".