385951 has 8 divisors (see below), whose sum is σ = 415584. Its totient is φ = 357120.

The previous prime is 385943. The next prime is 385967. The reversal of 385951 is 159583.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 8-Lehmer number, since φ(385951) divides (385951-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 385951 - 2³ = 385943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086 + ... + 1396.

It is an arithmetic number, because the mean of its divisors is an integer number (51948).

2³⁸⁵⁹⁵¹ is an apocalyptic number.

385951 is the 311-st decagonal number.

385951 is a deficient number, since it is larger than the sum of its proper divisors (29633).

385951 is a wasteful number, since it uses less digits than its factorization.

385951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its digits is 5400, while the sum is 31.

The square root of 385951 is about 621.2495472835. The cubic root of 385951 is about 72.8077131263.

The spelling of 385951 in words is "three hundred eighty-five thousand, nine hundred fifty-one".