961974 has 24 divisors (see below), whose sum is σ = 2245152. Its totient is φ = 295920.

The previous prime is 961973. The next prime is 961981. The reversal of 961974 is 479169.

961974 = 266² + 267² + ... + 278².

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961974.

It is not an unprimeable number, because it can be changed into a prime (961973) 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 11 ways as a sum of consecutive naturals, for example, 1822 + ... + 2289.

It is an arithmetic number, because the mean of its divisors is an integer number (93548).

2⁹⁶¹⁹⁷⁴ is an apocalyptic number.

961974 is an abundant number, since it is smaller than the sum of its proper divisors (1283178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961974 is a wasteful number, since it uses less digits than its factorization.

961974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4129 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 961974 is about 980.8027324595. The cubic root of 961974 is about 98.7160519958.

The spelling of 961974 in words is "nine hundred sixty-one thousand, nine hundred seventy-four".