36751 has 8 divisors (see below), whose sum is σ = 43344. Its totient is φ = 30720.

The previous prime is 36749. The next prime is 36761. The reversal of 36751 is 15763.

36751 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 11-Lehmer number, since φ(36751) divides (36751-1)¹¹.

It is a cyclic number.

It is not a de Polignac number, because 36751 - 2¹ = 36749 is a prime.

It is a Duffinian number.

36751 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36721) 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, 15 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (5418).

2³⁶⁷⁵¹ is an apocalyptic number.

36751 is a deficient number, since it is larger than the sum of its proper divisors (6593).

36751 is a wasteful number, since it uses less digits than its factorization.

36751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281.

The product of its digits is 630, while the sum is 22.

The square root of 36751 is about 191.7055033117. The cubic root of 36751 is about 33.2473003631.

It can be divided in two parts, 36 and 751, that added together give a palindrome (787).

The spelling of 36751 in words is "thirty-six thousand, seven hundred fifty-one".