993272952 has 64 divisors (see below), whose sum is σ = 2872154880. Its totient is φ = 280369152.

The previous prime is 993272927. The next prime is 993272977. The reversal of 993272952 is 259272399.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (993272927) and next prime (993272977).

It is a super-3 number, since 3×993272952³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21673 + ... + 49560.

It is an arithmetic number, because the mean of its divisors is an integer number (44877420).

Almost surely, 2^993272952 is an apocalyptic number.

It is an amenable number.

993272952 is an abundant number, since it is smaller than the sum of its proper divisors (1878881928).

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

993272952 is a wasteful number, since it uses less digits than its factorization.

993272952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71332 (or 71328 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 993272952 is about 31516.2331505527. The cubic root of 993272952 is about 997.7526036601.

The spelling of 993272952 in words is "nine hundred ninety-three million, two hundred seventy-two thousand, nine hundred fifty-two".