961731 has 6 divisors (see below), whose sum is σ = 1389180. Its totient is φ = 641148.

The previous prime is 961729. The next prime is 961733. The reversal of 961731 is 137169.

It is an interprime number because it is at equal distance from previous prime (961729) and next prime (961733).

It is not a de Polignac number, because 961731 - 2¹ = 961729 is a prime.

It is a super-2 number, since 2×961731² = 1849853032722, which contains 22 as substring.

961731 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 961695 and 961704.

It is not an unprimeable number, because it can be changed into a prime (961733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53421 + ... + 53438.

It is an arithmetic number, because the mean of its divisors is an integer number (231530).

2⁹⁶¹⁷³¹ is an apocalyptic number.

961731 is a deficient number, since it is larger than the sum of its proper divisors (427449).

961731 is a wasteful number, since it uses less digits than its factorization.

961731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106865 (or 106862 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 961731 is about 980.6788465140. The cubic root of 961731 is about 98.7077392206.

It can be divided in two parts, 96 and 1731, that multiplied together give a triangular number (166176 = T₅₇₆).

The spelling of 961731 in words is "nine hundred sixty-one thousand, seven hundred thirty-one".