367761 has 8 divisors (see below), whose sum is σ = 519264. Its totient is φ = 230720.

The previous prime is 367751. The next prime is 367771. The reversal of 367761 is 167763.

367761 = 139² + 140² + ... + 155².

It is an interprime number because it is at equal distance from previous prime (367751) and next prime (367771).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 367761 - 2¹⁵ = 334993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (367711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3555 + ... + 3656.

It is an arithmetic number, because the mean of its divisors is an integer number (64908).

2³⁶⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

367761 is a deficient number, since it is larger than the sum of its proper divisors (151503).

367761 is a wasteful number, since it uses less digits than its factorization.

367761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231.

The product of its digits is 5292, while the sum is 30.

The square root of 367761 is about 606.4330136132. The cubic root of 367761 is about 71.6454405019.

It can be divided in two parts, 367 and 761, that added together give a triangular number (1128 = T₄₇).

The spelling of 367761 in words is "three hundred sixty-seven thousand, seven hundred sixty-one".