431145 has 48 divisors (see below), whose sum is σ = 891072. Its totient is φ = 190080.

The previous prime is 431141. The next prime is 431147. The reversal of 431145 is 541134.

It is a happy number.

It is not a de Polignac number, because 431145 - 2² = 431141 is a prime.

It is a super-2 number, since 2×431145² = 371772022050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6402 + ... + 6468.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2⁴³¹¹⁴⁵ is an apocalyptic number.

431145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431145 is an abundant number, since it is smaller than the sum of its proper divisors (459927).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431145 is a wasteful number, since it uses less digits than its factorization.

431145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 99 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 431145 is about 656.6163263276. The cubic root of 431145 is about 75.5453581810.

Adding to 431145 its reverse (541134), we get a palindrome (972279).

It can be divided in two parts, 4311 and 45, that added together give a square (4356 = 66²).

The spelling of 431145 in words is "four hundred thirty-one thousand, one hundred forty-five".