1353672 has 40 divisors (see below), whose sum is σ = 3793350. Its totient is φ = 451008.

The previous prime is 1353641. The next prime is 1353679. The reversal of 1353672 is 2763531.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 910116 + 443556 = 954^2 + 666^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1353679) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 397 + ... + 1692.

2^1353672 is an apocalyptic number.

1353672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1353672 is an abundant number, since it is smaller than the sum of its proper divisors (2439678).

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

1353672 is a wasteful number, since it uses less digits than its factorization.

1353672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2094 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 1353672 is about 1163.4741080058. The cubic root of 1353672 is about 110.6210598999.

It can be divided in two parts, 1353 and 672, that added together give a square (2025 = 45²).

The spelling of 1353672 in words is "one million, three hundred fifty-three thousand, six hundred seventy-two".