147807 has 12 divisors (see below), whose sum is σ = 233064. Its totient is φ = 89520.

The previous prime is 147799. The next prime is 147811. The reversal of 147807 is 708741.

147807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 147807 - 2³ = 147799 is a prime.

147807 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147807.

It is not an unprimeable number, because it can be changed into a prime (147827) 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, 648 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (19422).

2¹⁴⁷⁸⁰⁷ is an apocalyptic number.

147807 is a deficient number, since it is larger than the sum of its proper divisors (85257).

147807 is a wasteful number, since it uses less digits than its factorization.

147807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 147807 is about 384.4567595972. The cubic root of 147807 is about 52.8727217636.

The spelling of 147807 in words is "one hundred forty-seven thousand, eight hundred seven".