361777 has 8 divisors (see below), whose sum is σ = 412776. Its totient is φ = 314112.

The previous prime is 361769. The next prime is 361787. The reversal of 361777 is 777163.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 361201 = 24^2 + 601^2 .

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 361777 - 2³ = 361769 is a prime.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (361727) 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, 598 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2³⁶¹⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

361777 is a deficient number, since it is larger than the sum of its proper divisors (50999).

361777 is a wasteful number, since it uses less digits than its factorization.

361777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667.

The product of its digits is 6174, while the sum is 31.

The square root of 361777 is about 601.4790104401. The cubic root of 361777 is about 71.2547221657.

The spelling of 361777 in words is "three hundred sixty-one thousand, seven hundred seventy-seven".