385972 has 6 divisors (see below), whose sum is σ = 675458. Its totient is φ = 192984.

The previous prime is 385967. The next prime is 385991. The reversal of 385972 is 279583.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 119716 = 516^2 + 346^2 .

It is a d-powerful number, because it can be written as 3⁶ + 8⁴ + 9³ + 5⁴ + 7⁶ + 2¹⁸ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48243 + ... + 48250.

2³⁸⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

385972 is a deficient number, since it is larger than the sum of its proper divisors (289486).

385972 is a wasteful number, since it uses less digits than its factorization.

385972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96497 (or 96495 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 385972 is about 621.2664484744. The cubic root of 385972 is about 72.8090336171.

The spelling of 385972 in words is "three hundred eighty-five thousand, nine hundred seventy-two".