88445 has 18 divisors (see below), whose sum is σ = 130302. Its totient is φ = 57456.

The previous prime is 88427. The next prime is 88463. The reversal of 88445 is 54488.

It is an interprime number because it is at equal distance from previous prime (88427) and next prime (88463).

It can be written as a sum of positive squares in only one way, i.e., 70756 + 17689 = 266^2 + 133^2 .

It is not a de Polignac number, because 88445 - 2¹⁰ = 87421 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4646 + ... + 4664.

It is an arithmetic number, because the mean of its divisors is an integer number (7239).

2⁸⁸⁴⁴⁵ is an apocalyptic number.

It is an amenable number.

88445 is a deficient number, since it is larger than the sum of its proper divisors (41857).

88445 is a wasteful number, since it uses less digits than its factorization.

88445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 88445 is about 297.3970410075. The cubic root of 88445 is about 44.5544508732.

Multiplying 88445 by its product of digits (5120), we get a square (452838400 = 21280²).

It can be divided in two parts, 884 and 45, that added together give a palindrome (929).

The spelling of 88445 in words is "eighty-eight thousand, four hundred forty-five".