83761 has 2 divisors, whose sum is σ = 83762. Its totient is φ = 83760.

The previous prime is 83737. The next prime is 83773. The reversal of 83761 is 16738.

83761 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 18225 = 256^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 83761 - 2¹⁵ = 50993 is a prime.

It is not a weakly prime, because it can be changed into another prime (83701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41880 + 41881.

It is an arithmetic number, because the mean of its divisors is an integer number (41881).

2⁸³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

83761 is a deficient number, since it is larger than the sum of its proper divisors (1).

83761 is an equidigital number, since it uses as much as digits as its factorization.

83761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 25.

The square root of 83761 is about 289.4149270511. The cubic root of 83761 is about 43.7536160277.

It can be divided in two parts, 837 and 61, that added together give a palindrome (898).

The spelling of 83761 in words is "eighty-three thousand, seven hundred sixty-one".