40761 has 12 divisors (see below), whose sum is σ = 67392. Its totient is φ = 23256.

The previous prime is 40759. The next prime is 40763. The reversal of 40761 is 16704.

It is an interprime number because it is at equal distance from previous prime (40759) and next prime (40763).

It is not a de Polignac number, because 40761 - 2¹ = 40759 is a prime.

It is a super-2 number, since 2×40761² = 3322918242, which contains 22 as substring.

40761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2⁴⁰⁷⁶¹ is an apocalyptic number.

It is an amenable number.

40761 is a deficient number, since it is larger than the sum of its proper divisors (26631).

40761 is a wasteful number, since it uses less digits than its factorization.

40761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 40761 is about 201.8935363007. The cubic root of 40761 is about 34.4150398450.

The spelling of 40761 in words is "forty thousand, seven hundred sixty-one".