331985952 has 120 divisors (see below), whose sum is σ = 982086336. Its totient is φ = 110014848.

The previous prime is 331985947. The next prime is 331985959. The reversal of 331985952 is 259589133.

It is a super-2 number, since 2×331985952² = 220429344650692608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331985898 and 331985907.

It is not an unprimeable number, because it can be changed into a prime (331985959) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 681453 + ... + 681939.

Almost surely, 2^331985952 is an apocalyptic number.

331985952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331985952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491043168).

331985952 is an abundant number, since it is smaller than the sum of its proper divisors (650100384).

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

331985952 is a wasteful number, since it uses less digits than its factorization.

331985952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 755 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 331985952 is about 18220.4816621296. The cubic root of 331985952 is about 692.4257907246.

The spelling of 331985952 in words is "three hundred thirty-one million, nine hundred eighty-five thousand, nine hundred fifty-two".