122573 has 6 divisors (see below), whose sum is σ = 134862. Its totient is φ = 111320.

The previous prime is 122561. The next prime is 122579. The reversal of 122573 is 375221.

It can be written as a sum of positive squares in only one way, i.e., 64009 + 58564 = 253^2 + 242^2 .

It is not a de Polignac number, because 122573 - 2⁴ = 122557 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122579) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 386 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (22477).

2¹²²⁵⁷³ is an apocalyptic number.

It is an amenable number.

122573 is a deficient number, since it is larger than the sum of its proper divisors (12289).

122573 is a wasteful number, since it uses less digits than its factorization.

122573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 122573 is about 350.1042701825. The cubic root of 122573 is about 49.6742827732.

Adding to 122573 its reverse (375221), we get a palindrome (497794).

It can be divided in two parts, 12 and 2573, that multiplied together give a triangular number (30876 = T₂₄₈).

The spelling of 122573 in words is "one hundred twenty-two thousand, five hundred seventy-three".