967761 has 16 divisors (see below), whose sum is σ = 1456320. Its totient is φ = 635040.

The previous prime is 967753. The next prime is 967763. The reversal of 967761 is 167769.

It is not a de Polignac number, because 967761 - 2³ = 967753 is a prime.

It is a super-2 number, since 2×967761² = 1873122706242, which contains 22 as substring.

Its product of digits (15876) is a multiple of the sum of its prime divisors (567).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967761.

It is not an unprimeable number, because it can be changed into a prime (967763) 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, 1726 + ... + 2216.

It is an arithmetic number, because the mean of its divisors is an integer number (91020).

2⁹⁶⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

967761 is a deficient number, since it is larger than the sum of its proper divisors (488559).

967761 is a wasteful number, since it uses less digits than its factorization.

967761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 967761 is about 983.7484434549. The cubic root of 967761 is about 98.9136069077.

It can be divided in two parts, 967 and 761, that added together give a cube (1728 = 12³).

The spelling of 967761 in words is "nine hundred sixty-seven thousand, seven hundred sixty-one".