420147 has 48 divisors (see below), whose sum is σ = 815360. Its totient is φ = 209952.

The previous prime is 420103. The next prime is 420149. The reversal of 420147 is 741024.

420147 = 18³ + 19³ + ... + 36³.

It is a happy number.

It is not a de Polignac number, because 420147 - 2¹⁸ = 158003 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420147.

It is not an unprimeable number, because it can be changed into a prime (420149) 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, 22104 + ... + 22122.

2⁴²⁰¹⁴⁷ is an apocalyptic number.

420147 is a deficient number, since it is larger than the sum of its proper divisors (395213).

420147 is a wasteful number, since it uses less digits than its factorization.

420147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 420147 is about 648.1874728811. The cubic root of 420147 is about 74.8974598708.

The spelling of 420147 in words is "four hundred twenty thousand, one hundred forty-seven", and thus it is an iban number.