45754 has 4 divisors (see below), whose sum is σ = 68634. Its totient is φ = 22876.

The previous prime is 45751. The next prime is 45757.

It can be divided in two parts, 45 and 754, that multiplied together give a triangular number (33930 = T_{260}).

45754 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (45751) and next prime (45757).

It can be written as a sum of positive squares in only one way, i.e., 30625 + 15129 = 175^2 + 123^2 .

It is a pancake number, because a pancake can be divided into 45754 parts by 302 straight cuts.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11437 + ... + 11440.

2^{45754} is an apocalyptic number.

45754 is a deficient number, since it is larger than the sum of its proper divisors (22880).

45754 is a wasteful number, since it uses less digits than its factorization.

45754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22879.

The product of its digits is 2800, while the sum is 25.

The square root of 45754 is about 213.9018466493. The cubic root of 45754 is about 35.7664927895.

The spelling of 45754 in words is "forty-five thousand, seven hundred fifty-four".

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