36777114 has 48 divisors (see below), whose sum is σ = 87946560. Its totient is φ = 11014080.

The previous prime is 36777113. The next prime is 36777121. The reversal of 36777114 is 41177763.

It is a super-2 number, since 2×36777114² = 2705112228337992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36777113) 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 23 ways as a sum of consecutive naturals, for example, 16579 + ... + 18665.

It is an arithmetic number, because the mean of its divisors is an integer number (1832220).

Almost surely, 2^36777114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36777114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43973280).

36777114 is an abundant number, since it is smaller than the sum of its proper divisors (51169446).

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

36777114 is a wasteful number, since it uses less digits than its factorization.

36777114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2192 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 36777114 is about 6064.4137391837. The cubic root of 36777114 is about 332.5517329572.

The spelling of 36777114 in words is "thirty-six million, seven hundred seventy-seven thousand, one hundred fourteen".