58952 has 8 divisors (see below), whose sum is σ = 110550. Its totient is φ = 29472.

The previous prime is 58943. The next prime is 58963. The reversal of 58952 is 25985.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 21316 = 194^2 + 146^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 9.

It is an unprimeable number.

58952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3677 + ... + 3692.

2⁵⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

58952 is a deficient number, since it is larger than the sum of its proper divisors (51598).

58952 is a wasteful number, since it uses less digits than its factorization.

58952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7371 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 58952 is about 242.8003294891. The cubic root of 58952 is about 38.9194040160.

It can be divided in two parts, 589 and 52, that multiplied together give a triangular number (30628 = T₂₄₇).

The spelling of 58952 in words is "fifty-eight thousand, nine hundred fifty-two".