961877 has 16 divisors (see below), whose sum is σ = 1192320. Its totient is φ = 757248.

The previous prime is 961871. The next prime is 961879. The reversal of 961877 is 778169.

It is a happy number.

It is not a de Polignac number, because 961877 - 2⁴ = 961861 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 961877.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6953 + ... + 7089.

It is an arithmetic number, because the mean of its divisors is an integer number (74520).

2⁹⁶¹⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

961877 is a deficient number, since it is larger than the sum of its proper divisors (230443).

961877 is a wasteful number, since it uses less digits than its factorization.

961877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its digits is 21168, while the sum is 38.

The square root of 961877 is about 980.7532819216. The cubic root of 961877 is about 98.7127338954.

The spelling of 961877 in words is "nine hundred sixty-one thousand, eight hundred seventy-seven".