961875 has 50 divisors (see below), whose sum is σ = 1890020. Its totient is φ = 486000.

The previous prime is 961871. The next prime is 961879. The reversal of 961875 is 578169.

It is an interprime number because it is at equal distance from previous prime (961871) and next prime (961879).

It is not a de Polignac number, because 961875 - 2² = 961871 is a prime.

Its product of digits (15120) is a multiple of the sum of its prime divisors (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961875.

It is not an unprimeable number, because it can be changed into a prime (961871) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 50616 + ... + 50634.

2⁹⁶¹⁸⁷⁵ is an apocalyptic number.

961875 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

961875 is a deficient number, since it is larger than the sum of its proper divisors (928145).

961875 is an equidigital number, since it uses as much as digits as its factorization.

961875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 961875 is about 980.7522622967. The cubic root of 961875 is about 98.7126654786.

The spelling of 961875 in words is "nine hundred sixty-one thousand, eight hundred seventy-five".