45526 has 16 divisors (see below), whose sum is σ = 78624. Its totient is φ = 19584.

The previous prime is 45523. The next prime is 45533. The reversal of 45526 is 62554.

45526 = 1² + 2² + ... + 51².

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 45497 and 45506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45523) 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, 391 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁴⁵⁵²⁶ is an apocalyptic number.

45526 is a deficient number, since it is larger than the sum of its proper divisors (33098).

45526 is a wasteful number, since it uses less digits than its factorization.

45526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135.

The product of its digits is 1200, while the sum is 22.

The square root of 45526 is about 213.3682263131. The cubic root of 45526 is about 35.7069836500.

The spelling of 45526 in words is "forty-five thousand, five hundred twenty-six".