3121875 has 48 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 1620000.

The previous prime is 3121873. The next prime is 3121891. The reversal of 3121875 is 5781213.

3121875 = 15³ + 16³ + ... + 59³.

It is not a de Polignac number, because 3121875 - 2¹ = 3121873 is a prime.

It is a super-2 number, since 2×3121875² = 19492207031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3121873) 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 47 ways as a sum of consecutive naturals, for example, 84357 + ... + 84393.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 2^3121875 is an apocalyptic number.

3121875 is a deficient number, since it is larger than the sum of its proper divisors (2815245).

3121875 is an frugal number, since it uses more digits than its factorization.

3121875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 3121875 is about 1766.8828484085. The cubic root of 3121875 is about 146.1521370281.

It can be divided in two parts, 312 and 1875, that added together give a 7-th power (2187 = 3⁷).

The spelling of 3121875 in words is "three million, one hundred twenty-one thousand, eight hundred seventy-five".