961837 has 16 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 831600.

The previous prime is 961817. The next prime is 961841. The reversal of 961837 is 738169.

It is a cyclic number.

It is not a de Polignac number, because 961837 - 2¹⁵ = 929069 is a prime.

It is a Duffinian number.

Its product of digits (9072) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961817) 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, 13512 + ... + 13582.

It is an arithmetic number, because the mean of its divisors is an integer number (69120).

2⁹⁶¹⁸³⁷ is an apocalyptic number.

It is an amenable number.

961837 is a deficient number, since it is larger than the sum of its proper divisors (144083).

961837 is a wasteful number, since it uses less digits than its factorization.

961837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its digits is 9072, while the sum is 34.

The square root of 961837 is about 980.7328892211. The cubic root of 961837 is about 98.7113655416.

It can be divided in two parts, 961 and 837, that multiplied together give a cube (804357 = 93³).

The spelling of 961837 in words is "nine hundred sixty-one thousand, eight hundred thirty-seven".