361977 has 16 divisors (see below), whose sum is σ = 602112. Its totient is φ = 187920.

The previous prime is 361973. The next prime is 361979. The reversal of 361977 is 779163.

It is not a de Polignac number, because 361977 - 2² = 361973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (361973) 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 15 ways as a sum of consecutive naturals, for example, 553 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (37632).

2³⁶¹⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

361977 is a deficient number, since it is larger than the sum of its proper divisors (240135).

361977 is a wasteful number, since it uses less digits than its factorization.

361977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588.

The product of its digits is 7938, while the sum is 33.

The square root of 361977 is about 601.6452443093. The cubic root of 361977 is about 71.2678502521.

The spelling of 361977 in words is "three hundred sixty-one thousand, nine hundred seventy-seven".