921761 has 2 divisors, whose sum is σ = 921762. Its totient is φ = 921760.

The previous prime is 921751. The next prime is 921779. The reversal of 921761 is 167129.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 891136 + 30625 = 944^2 + 175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-921761 is a prime.

It is a super-2 number, since 2×921761² = 1699286682242, which contains 22 as substring.

It is a Chen prime.

It is equal to p₇₂₈₆₃ and since 921761 and 72863 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 921761.

It is not a weakly prime, because it can be changed into another prime (921751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 460880 + 460881.

It is an arithmetic number, because the mean of its divisors is an integer number (460881).

2⁹²¹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

921761 is a deficient number, since it is larger than the sum of its proper divisors (1).

921761 is an equidigital number, since it uses as much as digits as its factorization.

921761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 26.

The square root of 921761 is about 960.0838505047. The cubic root of 921761 is about 97.3208984657.

The spelling of 921761 in words is "nine hundred twenty-one thousand, seven hundred sixty-one".