161007 has 32 divisors (see below), whose sum is σ = 290304. Its totient is φ = 76800.

The previous prime is 160997. The next prime is 161009. The reversal of 161007 is 700161.

It is not a de Polignac number, because 161007 - 2⁷ = 160879 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3907 + ... + 3947.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁶¹⁰⁰⁷ is an apocalyptic number.

161007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

161007 is a deficient number, since it is larger than the sum of its proper divisors (129297).

161007 is a wasteful number, since it uses less digits than its factorization.

161007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 161007 is about 401.2567756437. The cubic root of 161007 is about 54.4020066662.

Adding to 161007 its reverse (700161), we get a palindrome (861168).

The spelling of 161007 in words is "one hundred sixty-one thousand, seven".