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122825 = 52173
BaseRepresentation
bin11101111111001001
320020111002
4131333021
512412300
62344345
71021043
oct357711
9206432
10122825
118430a
125b0b5
1343ba1
1432a93
15265d5
hex1dfc9

122825 has 12 divisors (see below), whose sum is σ = 161820. Its totient is φ = 92480.

The previous prime is 122819. The next prime is 122827. The reversal of 122825 is 528221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122825 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 6 ways, for example, as 1024 + 121801 = 32^2 + 349^2 .

It is not a de Polignac number, because 122825 - 26 = 122761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122797 and 122806.

It is not an unprimeable number, because it can be changed into a prime (122827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7217 + ... + 7233.

It is an arithmetic number, because the mean of its divisors is an integer number (13485).

2122825 is an apocalyptic number.

It is an amenable number.

122825 is a deficient number, since it is larger than the sum of its proper divisors (38995).

122825 is an frugal number, since it uses more digits than its factorization.

122825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 22 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 122825 is about 350.4639781775. The cubic root of 122825 is about 49.7083015496.

Multiplying 122825 by its product of digits (320), we get a cube (39304000 = 3403).

The spelling of 122825 in words is "one hundred twenty-two thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 4913 7225 24565 122825