961337 has 8 divisors (see below), whose sum is σ = 1050504. Its totient is φ = 874368.

The previous prime is 961319. The next prime is 961339. The reversal of 961337 is 733169.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 942841 = 136^2 + 971^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 961337 - 2⁶ = 961273 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961337.

It is not an unprimeable number, because it can be changed into a prime (961339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (131313).

2⁹⁶¹³³⁷ is an apocalyptic number.

It is an amenable number.

961337 is a deficient number, since it is larger than the sum of its proper divisors (89167).

961337 is a wasteful number, since it uses less digits than its factorization.

961337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099.

The product of its digits is 3402, while the sum is 29.

The square root of 961337 is about 980.4779446780. The cubic root of 961337 is about 98.6942579175.

The spelling of 961337 in words is "nine hundred sixty-one thousand, three hundred thirty-seven".