40554 has 16 divisors (see below), whose sum is σ = 90240. Its totient is φ = 13500.

The previous prime is 40543. The next prime is 40559. The reversal of 40554 is 45504.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40559) 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, 322 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (5640).

2⁴⁰⁵⁵⁴ is an apocalyptic number.

40554 is the 108-th nonagonal number.

40554 is an abundant number, since it is smaller than the sum of its proper divisors (49686).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45120).

40554 is a wasteful number, since it uses less digits than its factorization.

40554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40554 is about 201.3802373621. The cubic root of 40554 is about 34.3566833547.

Subtracting 40554 from its reverse (45504), we obtain a triangular number (4950 = T₉₉).

The spelling of 40554 in words is "forty thousand, five hundred fifty-four".