36977216 has 28 divisors (see below), whose sum is σ = 74040492. Its totient is φ = 18321408.

The previous prime is 36977209. The next prime is 36977219. The reversal of 36977216 is 61277963.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 36481600 = 704^2 + 6040^2 .

It is a super-2 number, since 2×36977216² = 2734629006221312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36977219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4676 + ... + 9788.

Almost surely, 2^36977216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37020246).

36977216 is an abundant number, since it is smaller than the sum of its proper divisors (37063276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36977216 is a wasteful number, since it uses less digits than its factorization.

36977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5228 counting only the distinct ones).

The product of its digits is 95256, while the sum is 41.

The square root of 36977216 is about 6080.8894086309. The cubic root of 36977216 is about 333.1537735144.

The spelling of 36977216 in words is "thirty-six million, nine hundred seventy-seven thousand, two hundred sixteen".