367961 has 6 divisors (see below), whose sum is σ = 404586. Its totient is φ = 334400.

The previous prime is 367957. The next prime is 368021. The reversal of 367961 is 169763.

It can be written as a sum of positive squares in only one way, i.e., 366025 + 1936 = 605^2 + 44^2 .

It is not a de Polignac number, because 367961 - 2² = 367957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (367261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1400 + ... + 1641.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

2³⁶⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

367961 is a deficient number, since it is larger than the sum of its proper divisors (36625).

367961 is a wasteful number, since it uses less digits than its factorization.

367961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3052 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 367961 is about 606.5978898743. The cubic root of 367961 is about 71.6584258297.

It can be divided in two parts, 36 and 7961, that added together give a palindrome (7997).

The spelling of 367961 in words is "three hundred sixty-seven thousand, nine hundred sixty-one".