761561 has 2 divisors, whose sum is σ = 761562. Its totient is φ = 761560.

The previous prime is 761543. The next prime is 761567. The reversal of 761561 is 165167.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755161 + 6400 = 869^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 761561 - 2¹⁰ = 760537 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 761561.

It is not a weakly prime, because it can be changed into another prime (761567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 380780 + 380781.

It is an arithmetic number, because the mean of its divisors is an integer number (380781).

2⁷⁶¹⁵⁶¹ is an apocalyptic number.

It is an amenable number.

761561 is a deficient number, since it is larger than the sum of its proper divisors (1).

761561 is an equidigital number, since it uses as much as digits as its factorization.

761561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 26.

The square root of 761561 is about 872.6746243589. The cubic root of 761561 is about 91.3204897255.

The spelling of 761561 in words is "seven hundred sixty-one thousand, five hundred sixty-one".